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Finding the Fourth Proportional to 3,659.59, 5,490.62 and 1,161.19

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Solution

The fourth proportional to 3,659.59, 5,490.62 and 1,161.19 is: 1,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.59 : 5,490.62 = 1,161.19 : x
  2. Step 2: Convert to fraction form
    3,659.59/5,490.62 = 1,161.19/x
  3. Step 3: Cross multiply
    3,659.59x = 5,490.62 × 1,161.19
  4. Step 4: Simplify right side
    3,659.59x = 6,375,627.56
  5. Step 5: Solve for x
    x = 6,375,627.56/3,659.59
  6. Step 6: Final answer
    x = 1,742.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.